Model independent analysis of top quark forward-backward asymmetry at the Tevatron up to $\mathcal{O}(\as^2/Λ^2)$

Abstract

We present the complete calculations of the forward-backward asymmetry ($A_{\mathrm{FB}}$) and the total cross section of top quark pair production induced by dimension-six four quark operators at the Tevatron up to $\mathcal{O}(\as^2/Λ^2)$. Our results show that next-to-leading order (NLO) QCD corrections can change $A_{\mathrm{FB}}$ and the total cross section by about 10%. Moreover, NLO QCD corrections reduce the dependence of $A_{\mathrm{FB}}$ and total cross section on the renormalization and factorization scales significantly. We also evaluate the total cross section and the charge asymmetry ($A_{\mathrm{C}}$) induced by these operators at the Large Hadron Collider (LHC) up to $\mathcal{O}(\as^2/Λ^2)$, for the parameter space allowed by the Tevatron data. We find that the value of $A_{\mathrm{C}}$ induced by these operators is much larger than SM prediction, and LHC has potential to discover these NP effects when the measurement precision increases.

25 pages, 10 figures; final version in PRD

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